Dr. Qingying Bu is a Professor of Mathematics in the Department of Mathematics at the University of Mississippi.
Research Interests
Dr. Qingying Bu's research is in Functional Analysis. He is also interested in:
- Geometry of Banach spaces
- Tensor products of Banach spaces
- Positive tensor products of Banach lattices
- Regular multilinear operators and homogeneous polynomials on Banach lattices
Biography
Dr. Qingying Bu completed his PhD at Kent State University in 2002, under the supervision of Professor Joe Diestel. He then joined the Department of Mathematics at the University of Mississippi. Since then, he has published more than fifty papers in mathematical journals including world well-known journals such as Journal of Functional Analysis, Proceedings of American Mathematical Society, Studia Mathematica, Bulletin of London Mathematical Society.
According to MathSciNet report, Dr. Bu has published 84 papers, which are cited by 168 authors in 312 papers.
Publications
RECENT PUBLICATIONS:
A version of Kalton's theorem for the space of regular homogeneous polynomials on Banach lattices, Quart. J. Math. 75 (2024), no. 1, 51–62.
(with Y. Li and A. Mate) Pelczyński's property (V) on positive tensor products of Banach lattices, Colloq. Math. 175 (2024), 221–235.
(with Y. Li) New examples of non-reflexive Banach spaces with Pelczyński's property (V), Positivity 27 (2023), no. 1, Paper No. 20, 7 pp.
(with G. Botelho, D. Ji, and K. Navoyan) The positive Schur property on positive projective tensor products and spaces of regular multilinear operators, Monatsh. Math. 197 (2022), no. 4, 565–578.
(with Y. Li) Reflexivity for spaces of regular operators on Banach lattices, Proc. Amer. Math. Soc. 150 (2022), no. 11, 4811–4818.
(with Z. Shi and Y. Wang) Polynomial versions of weak Dunford-Pettis properties in Banach lattices, Positivity 25 (2021), no. 5, 1685–1698.
On Kalton's theorem for regular compact operators and Grothendieck property for positive projective tensor products, Proc. Amer. Math. Soc. 148 (2020), no. 6, 2459–2467.
(with Z. Shi and Y. Wang) Polynomial versions of almost Dunford-Pettis sets and almost limited sets in Banach lattices, J. Math. Anal. Appl. 485 (2020), no. 2, 123834.
(with D. Ji and K. Navoyan) Complementation in the Fremlin vector lattice symmetric tensor products–I, Quaest. Math. 43 (2020), no. 5–6, 773–782.
(with D. Ji and K. Navoyan) Complementation in the Fremlin vector lattice symmetric tensor products–II, Ann. Funct. Anal. 11 (2020), no. 1, 47–61.
Courses Taught
- Math 2611 Unified Calculus & Analytic Geometry I
- Math 2612 Unified Calculus & Analytic Geometry II
- Math 2613 Unified Calculus & Analytic Geometry III
- Math 2614 Unified Calculus & Analytic Geometry IV
- Math 3010 Discrete Mathematics
- Math 3530 Elementary Differential Equations
- Math 4540 Intermediate Differential Equations
- Math 5011 General Topology I
- Math 5551 Advanced Calculus I
- Math 5552 Advanced Calculus II
- Math 6251 Modern Algebra I
- Math 6252 Modern Algebra II
- Math 7531 Theory of Functions of Real Variables I
- Math 7532 Theory of Functions of Real Variables II
Education
Ph.D. Mathematics, Kentucky State University (2002)
M.S. Mathematics, Harbin Institute of Technology (1989)
B.S. Mathematics, Harbin Institute of Technology (1983)